Problema Solution
The length of a rectangle is 18 inches more than two thirds of its width. If the perimeter of this rectangle is 96 inches, find its dimensions.
Answer provided by our tutors
let
l = the length of the rectangle
w = the width of the rectangle
The length of a rectangle is 18 inches more than two thirds of its width
l = 18 + (2/3)w
the perimeter of this rectangle is 96 inches
2(l + w) = 96 divide both sides by 2
l + w = 48
by solving the system of equations
l = 18 + (2/3)w
l + w = 48
we find
l = 30 in
w = 18 in
click here to see the step by step solution of the system of equations
the dimensions of the rectangle are: the length is 30 inches and the width is 18 inches.